# Multiplication principle - practice problems

#### Number of problems found: 225

- Face combinations

If I have 20 sets of eyes, 20 noses, and 20 mouths, how many unique face combinations can I make? - Even five-digit

How many even five-digit natural numbers with different digits can be created from the digits 0 - 6? - School group

There are 5 girls and 7 boys in the group. They sit in a row next to each other. How many options if no two girls sit next to each other. - Tv dinner tray

I'm trying to calculate total possible unique potential combinations, but I'm trying to solve for a tv dinner tray with 4 little sections for one each of: meat, veggie, starch, dessert. What makes this more complex is we have different types of meats/vegg - Round table

Find the number of ways in which 8 people can be seated at a round table, such that 2 of them always sit together. - Balls in row

Calculate the number of ways of placing 4 black balls, 4 turquoise balls and 5 gold balls in a row. - The flag

The flag should consist of 3 different colored stripes. Available colors: white, red, blue, green and yellow. Specify: A) number of all flags B) number of flags with a blue stripe C) number of flags with a blue stripe in the middle D) the number of flags - The three

The three boys Adam, Boris and Cyril are to be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away? - An aircraft

An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels that it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is i - Right key

The hostel has 4 rooms. The keys to each room are not numbered. Each of the four guests took one key. What is the probability that everyone took the right key? - Three towns and roads

If there are 3 roads from town A to town B And 4 roads from town B to town C, in how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice? - Hockey Championships

At the 2021 World Hockey Championships, there are eight teams in Group A, each of which plays seven matches. There are 4 points for each team to gain points (3-2-1-0), but it is always paired with the opponent's points ( 0-1-2-3). How many points are ther - A married

A married couple planned to have 3 children. i. List the possible combinations of the sexes of 3 children. Use B for boy and G for girl. ii. Calculate the probability that all three children would be of the same gender - Committee 2

How many committee consisting of 3 women and 2 men can be formed from a group of 6 woman and 5 men? - ID tag

How many 3 digit ID tag can be made if: a) a digit cannot be used more than once b) the 1st digit must be five, and repetition of the others is not permitted. - There 8

There are 7 women and 5 men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)? - Three wagons

I have 6 different people (A, B, C, D, E, F), which I have to place into 3 wagons, if it depends on who will board. How many options are there? - Tic-tac-toe

In how many ways could 9 participants of the school round of five-in-a-row win the first three places? - Two dice

What is the probability that when the roll of two identical dice is the sum of points 7? - A bag

A bag contains 9 blue marbles and 1 green marble. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble.

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